You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
585 lines
18 KiB
585 lines
18 KiB
*> \brief \b CGET37
|
|
*
|
|
* =========== DOCUMENTATION ===========
|
|
*
|
|
* Online html documentation available at
|
|
* http://www.netlib.org/lapack/explore-html/
|
|
*
|
|
* Definition:
|
|
* ===========
|
|
*
|
|
* SUBROUTINE CGET37( RMAX, LMAX, NINFO, KNT, NIN )
|
|
*
|
|
* .. Scalar Arguments ..
|
|
* INTEGER KNT, NIN
|
|
* ..
|
|
* .. Array Arguments ..
|
|
* INTEGER LMAX( 3 ), NINFO( 3 )
|
|
* REAL RMAX( 3 )
|
|
* ..
|
|
*
|
|
*
|
|
*> \par Purpose:
|
|
* =============
|
|
*>
|
|
*> \verbatim
|
|
*>
|
|
*> CGET37 tests CTRSNA, a routine for estimating condition numbers of
|
|
*> eigenvalues and/or right eigenvectors of a matrix.
|
|
*>
|
|
*> The test matrices are read from a file with logical unit number NIN.
|
|
*> \endverbatim
|
|
*
|
|
* Arguments:
|
|
* ==========
|
|
*
|
|
*> \param[out] RMAX
|
|
*> \verbatim
|
|
*> RMAX is REAL array, dimension (3)
|
|
*> Value of the largest test ratio.
|
|
*> RMAX(1) = largest ratio comparing different calls to CTRSNA
|
|
*> RMAX(2) = largest error in reciprocal condition
|
|
*> numbers taking their conditioning into account
|
|
*> RMAX(3) = largest error in reciprocal condition
|
|
*> numbers not taking their conditioning into
|
|
*> account (may be larger than RMAX(2))
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] LMAX
|
|
*> \verbatim
|
|
*> LMAX is INTEGER array, dimension (3)
|
|
*> LMAX(i) is example number where largest test ratio
|
|
*> RMAX(i) is achieved. Also:
|
|
*> If CGEHRD returns INFO nonzero on example i, LMAX(1)=i
|
|
*> If CHSEQR returns INFO nonzero on example i, LMAX(2)=i
|
|
*> If CTRSNA returns INFO nonzero on example i, LMAX(3)=i
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] NINFO
|
|
*> \verbatim
|
|
*> NINFO is INTEGER array, dimension (3)
|
|
*> NINFO(1) = No. of times CGEHRD returned INFO nonzero
|
|
*> NINFO(2) = No. of times CHSEQR returned INFO nonzero
|
|
*> NINFO(3) = No. of times CTRSNA returned INFO nonzero
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] KNT
|
|
*> \verbatim
|
|
*> KNT is INTEGER
|
|
*> Total number of examples tested.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[in] NIN
|
|
*> \verbatim
|
|
*> NIN is INTEGER
|
|
*> Input logical unit number
|
|
*> \endverbatim
|
|
*
|
|
* Authors:
|
|
* ========
|
|
*
|
|
*> \author Univ. of Tennessee
|
|
*> \author Univ. of California Berkeley
|
|
*> \author Univ. of Colorado Denver
|
|
*> \author NAG Ltd.
|
|
*
|
|
*> \ingroup complex_eig
|
|
*
|
|
* =====================================================================
|
|
SUBROUTINE CGET37( RMAX, LMAX, NINFO, KNT, NIN )
|
|
*
|
|
* -- LAPACK test routine --
|
|
* -- LAPACK is a software package provided by Univ. of Tennessee, --
|
|
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
|
|
*
|
|
* .. Scalar Arguments ..
|
|
INTEGER KNT, NIN
|
|
* ..
|
|
* .. Array Arguments ..
|
|
INTEGER LMAX( 3 ), NINFO( 3 )
|
|
REAL RMAX( 3 )
|
|
* ..
|
|
*
|
|
* =====================================================================
|
|
*
|
|
* .. Parameters ..
|
|
REAL ZERO, ONE, TWO
|
|
PARAMETER ( ZERO = 0.0E0, ONE = 1.0E0, TWO = 2.0E0 )
|
|
REAL EPSIN
|
|
PARAMETER ( EPSIN = 5.9605E-8 )
|
|
INTEGER LDT, LWORK
|
|
PARAMETER ( LDT = 20, LWORK = 2*LDT*( 10+LDT ) )
|
|
* ..
|
|
* .. Local Scalars ..
|
|
INTEGER I, ICMP, INFO, ISCL, ISRT, J, KMIN, M, N
|
|
REAL BIGNUM, EPS, SMLNUM, TNRM, TOL, TOLIN, V,
|
|
$ VCMIN, VMAX, VMIN, VMUL
|
|
* ..
|
|
* .. Local Arrays ..
|
|
LOGICAL SELECT( LDT )
|
|
INTEGER LCMP( 3 )
|
|
REAL DUM( 1 ), RWORK( 2*LDT ), S( LDT ), SEP( LDT ),
|
|
$ SEPIN( LDT ), SEPTMP( LDT ), SIN( LDT ),
|
|
$ STMP( LDT ), VAL( 3 ), WIIN( LDT ),
|
|
$ WRIN( LDT ), WSRT( LDT )
|
|
COMPLEX CDUM( 1 ), LE( LDT, LDT ), RE( LDT, LDT ),
|
|
$ T( LDT, LDT ), TMP( LDT, LDT ), W( LDT ),
|
|
$ WORK( LWORK ), WTMP( LDT )
|
|
* ..
|
|
* .. External Functions ..
|
|
REAL CLANGE, SLAMCH
|
|
EXTERNAL CLANGE, SLAMCH
|
|
* ..
|
|
* .. External Subroutines ..
|
|
EXTERNAL CCOPY, CGEHRD, CHSEQR, CLACPY, CSSCAL, CTREVC,
|
|
$ CTRSNA, SCOPY, SSCAL
|
|
* ..
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC AIMAG, MAX, REAL, SQRT
|
|
* ..
|
|
* .. Executable Statements ..
|
|
*
|
|
EPS = SLAMCH( 'P' )
|
|
SMLNUM = SLAMCH( 'S' ) / EPS
|
|
BIGNUM = ONE / SMLNUM
|
|
*
|
|
* EPSIN = 2**(-24) = precision to which input data computed
|
|
*
|
|
EPS = MAX( EPS, EPSIN )
|
|
RMAX( 1 ) = ZERO
|
|
RMAX( 2 ) = ZERO
|
|
RMAX( 3 ) = ZERO
|
|
LMAX( 1 ) = 0
|
|
LMAX( 2 ) = 0
|
|
LMAX( 3 ) = 0
|
|
KNT = 0
|
|
NINFO( 1 ) = 0
|
|
NINFO( 2 ) = 0
|
|
NINFO( 3 ) = 0
|
|
VAL( 1 ) = SQRT( SMLNUM )
|
|
VAL( 2 ) = ONE
|
|
VAL( 3 ) = SQRT( BIGNUM )
|
|
*
|
|
* Read input data until N=0. Assume input eigenvalues are sorted
|
|
* lexicographically (increasing by real part if ISRT = 0,
|
|
* increasing by imaginary part if ISRT = 1)
|
|
*
|
|
10 CONTINUE
|
|
READ( NIN, FMT = * )N, ISRT
|
|
IF( N.EQ.0 )
|
|
$ RETURN
|
|
DO 20 I = 1, N
|
|
READ( NIN, FMT = * )( TMP( I, J ), J = 1, N )
|
|
20 CONTINUE
|
|
DO 30 I = 1, N
|
|
READ( NIN, FMT = * )WRIN( I ), WIIN( I ), SIN( I ), SEPIN( I )
|
|
30 CONTINUE
|
|
TNRM = CLANGE( 'M', N, N, TMP, LDT, RWORK )
|
|
DO 260 ISCL = 1, 3
|
|
*
|
|
* Scale input matrix
|
|
*
|
|
KNT = KNT + 1
|
|
CALL CLACPY( 'F', N, N, TMP, LDT, T, LDT )
|
|
VMUL = VAL( ISCL )
|
|
DO 40 I = 1, N
|
|
CALL CSSCAL( N, VMUL, T( 1, I ), 1 )
|
|
40 CONTINUE
|
|
IF( TNRM.EQ.ZERO )
|
|
$ VMUL = ONE
|
|
*
|
|
* Compute eigenvalues and eigenvectors
|
|
*
|
|
CALL CGEHRD( N, 1, N, T, LDT, WORK( 1 ), WORK( N+1 ), LWORK-N,
|
|
$ INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 1 ) = KNT
|
|
NINFO( 1 ) = NINFO( 1 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
DO 60 J = 1, N - 2
|
|
DO 50 I = J + 2, N
|
|
T( I, J ) = ZERO
|
|
50 CONTINUE
|
|
60 CONTINUE
|
|
*
|
|
* Compute Schur form
|
|
*
|
|
CALL CHSEQR( 'S', 'N', N, 1, N, T, LDT, W, CDUM, 1, WORK,
|
|
$ LWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 2 ) = KNT
|
|
NINFO( 2 ) = NINFO( 2 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
*
|
|
* Compute eigenvectors
|
|
*
|
|
DO 70 I = 1, N
|
|
SELECT( I ) = .TRUE.
|
|
70 CONTINUE
|
|
CALL CTREVC( 'B', 'A', SELECT, N, T, LDT, LE, LDT, RE, LDT, N,
|
|
$ M, WORK, RWORK, INFO )
|
|
*
|
|
* Compute condition numbers
|
|
*
|
|
CALL CTRSNA( 'B', 'A', SELECT, N, T, LDT, LE, LDT, RE, LDT, S,
|
|
$ SEP, N, M, WORK, N, RWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 3 ) = KNT
|
|
NINFO( 3 ) = NINFO( 3 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
*
|
|
* Sort eigenvalues and condition numbers lexicographically
|
|
* to compare with inputs
|
|
*
|
|
CALL CCOPY( N, W, 1, WTMP, 1 )
|
|
IF( ISRT.EQ.0 ) THEN
|
|
*
|
|
* Sort by increasing real part
|
|
*
|
|
DO 80 I = 1, N
|
|
WSRT( I ) = REAL( W( I ) )
|
|
80 CONTINUE
|
|
ELSE
|
|
*
|
|
* Sort by increasing imaginary part
|
|
*
|
|
DO 90 I = 1, N
|
|
WSRT( I ) = AIMAG( W( I ) )
|
|
90 CONTINUE
|
|
END IF
|
|
CALL SCOPY( N, S, 1, STMP, 1 )
|
|
CALL SCOPY( N, SEP, 1, SEPTMP, 1 )
|
|
CALL SSCAL( N, ONE / VMUL, SEPTMP, 1 )
|
|
DO 110 I = 1, N - 1
|
|
KMIN = I
|
|
VMIN = WSRT( I )
|
|
DO 100 J = I + 1, N
|
|
IF( WSRT( J ).LT.VMIN ) THEN
|
|
KMIN = J
|
|
VMIN = WSRT( J )
|
|
END IF
|
|
100 CONTINUE
|
|
WSRT( KMIN ) = WSRT( I )
|
|
WSRT( I ) = VMIN
|
|
VCMIN = REAL( WTMP( I ) )
|
|
WTMP( I ) = W( KMIN )
|
|
WTMP( KMIN ) = VCMIN
|
|
VMIN = STMP( KMIN )
|
|
STMP( KMIN ) = STMP( I )
|
|
STMP( I ) = VMIN
|
|
VMIN = SEPTMP( KMIN )
|
|
SEPTMP( KMIN ) = SEPTMP( I )
|
|
SEPTMP( I ) = VMIN
|
|
110 CONTINUE
|
|
*
|
|
* Compare condition numbers for eigenvalues
|
|
* taking their condition numbers into account
|
|
*
|
|
V = MAX( TWO*REAL( N )*EPS*TNRM, SMLNUM )
|
|
IF( TNRM.EQ.ZERO )
|
|
$ V = ONE
|
|
DO 120 I = 1, N
|
|
IF( V.GT.SEPTMP( I ) ) THEN
|
|
TOL = ONE
|
|
ELSE
|
|
TOL = V / SEPTMP( I )
|
|
END IF
|
|
IF( V.GT.SEPIN( I ) ) THEN
|
|
TOLIN = ONE
|
|
ELSE
|
|
TOLIN = V / SEPIN( I )
|
|
END IF
|
|
TOL = MAX( TOL, SMLNUM / EPS )
|
|
TOLIN = MAX( TOLIN, SMLNUM / EPS )
|
|
IF( EPS*( SIN( I )-TOLIN ).GT.STMP( I )+TOL ) THEN
|
|
VMAX = ONE / EPS
|
|
ELSE IF( SIN( I )-TOLIN.GT.STMP( I )+TOL ) THEN
|
|
VMAX = ( SIN( I )-TOLIN ) / ( STMP( I )+TOL )
|
|
ELSE IF( SIN( I )+TOLIN.LT.EPS*( STMP( I )-TOL ) ) THEN
|
|
VMAX = ONE / EPS
|
|
ELSE IF( SIN( I )+TOLIN.LT.STMP( I )-TOL ) THEN
|
|
VMAX = ( STMP( I )-TOL ) / ( SIN( I )+TOLIN )
|
|
ELSE
|
|
VMAX = ONE
|
|
END IF
|
|
IF( VMAX.GT.RMAX( 2 ) ) THEN
|
|
RMAX( 2 ) = VMAX
|
|
IF( NINFO( 2 ).EQ.0 )
|
|
$ LMAX( 2 ) = KNT
|
|
END IF
|
|
120 CONTINUE
|
|
*
|
|
* Compare condition numbers for eigenvectors
|
|
* taking their condition numbers into account
|
|
*
|
|
DO 130 I = 1, N
|
|
IF( V.GT.SEPTMP( I )*STMP( I ) ) THEN
|
|
TOL = SEPTMP( I )
|
|
ELSE
|
|
TOL = V / STMP( I )
|
|
END IF
|
|
IF( V.GT.SEPIN( I )*SIN( I ) ) THEN
|
|
TOLIN = SEPIN( I )
|
|
ELSE
|
|
TOLIN = V / SIN( I )
|
|
END IF
|
|
TOL = MAX( TOL, SMLNUM / EPS )
|
|
TOLIN = MAX( TOLIN, SMLNUM / EPS )
|
|
IF( EPS*( SEPIN( I )-TOLIN ).GT.SEPTMP( I )+TOL ) THEN
|
|
VMAX = ONE / EPS
|
|
ELSE IF( SEPIN( I )-TOLIN.GT.SEPTMP( I )+TOL ) THEN
|
|
VMAX = ( SEPIN( I )-TOLIN ) / ( SEPTMP( I )+TOL )
|
|
ELSE IF( SEPIN( I )+TOLIN.LT.EPS*( SEPTMP( I )-TOL ) ) THEN
|
|
VMAX = ONE / EPS
|
|
ELSE IF( SEPIN( I )+TOLIN.LT.SEPTMP( I )-TOL ) THEN
|
|
VMAX = ( SEPTMP( I )-TOL ) / ( SEPIN( I )+TOLIN )
|
|
ELSE
|
|
VMAX = ONE
|
|
END IF
|
|
IF( VMAX.GT.RMAX( 2 ) ) THEN
|
|
RMAX( 2 ) = VMAX
|
|
IF( NINFO( 2 ).EQ.0 )
|
|
$ LMAX( 2 ) = KNT
|
|
END IF
|
|
130 CONTINUE
|
|
*
|
|
* Compare condition numbers for eigenvalues
|
|
* without taking their condition numbers into account
|
|
*
|
|
DO 140 I = 1, N
|
|
IF( SIN( I ).LE.REAL( 2*N )*EPS .AND. STMP( I ).LE.
|
|
$ REAL( 2*N )*EPS ) THEN
|
|
VMAX = ONE
|
|
ELSE IF( EPS*SIN( I ).GT.STMP( I ) ) THEN
|
|
VMAX = ONE / EPS
|
|
ELSE IF( SIN( I ).GT.STMP( I ) ) THEN
|
|
VMAX = SIN( I ) / STMP( I )
|
|
ELSE IF( SIN( I ).LT.EPS*STMP( I ) ) THEN
|
|
VMAX = ONE / EPS
|
|
ELSE IF( SIN( I ).LT.STMP( I ) ) THEN
|
|
VMAX = STMP( I ) / SIN( I )
|
|
ELSE
|
|
VMAX = ONE
|
|
END IF
|
|
IF( VMAX.GT.RMAX( 3 ) ) THEN
|
|
RMAX( 3 ) = VMAX
|
|
IF( NINFO( 3 ).EQ.0 )
|
|
$ LMAX( 3 ) = KNT
|
|
END IF
|
|
140 CONTINUE
|
|
*
|
|
* Compare condition numbers for eigenvectors
|
|
* without taking their condition numbers into account
|
|
*
|
|
DO 150 I = 1, N
|
|
IF( SEPIN( I ).LE.V .AND. SEPTMP( I ).LE.V ) THEN
|
|
VMAX = ONE
|
|
ELSE IF( EPS*SEPIN( I ).GT.SEPTMP( I ) ) THEN
|
|
VMAX = ONE / EPS
|
|
ELSE IF( SEPIN( I ).GT.SEPTMP( I ) ) THEN
|
|
VMAX = SEPIN( I ) / SEPTMP( I )
|
|
ELSE IF( SEPIN( I ).LT.EPS*SEPTMP( I ) ) THEN
|
|
VMAX = ONE / EPS
|
|
ELSE IF( SEPIN( I ).LT.SEPTMP( I ) ) THEN
|
|
VMAX = SEPTMP( I ) / SEPIN( I )
|
|
ELSE
|
|
VMAX = ONE
|
|
END IF
|
|
IF( VMAX.GT.RMAX( 3 ) ) THEN
|
|
RMAX( 3 ) = VMAX
|
|
IF( NINFO( 3 ).EQ.0 )
|
|
$ LMAX( 3 ) = KNT
|
|
END IF
|
|
150 CONTINUE
|
|
*
|
|
* Compute eigenvalue condition numbers only and compare
|
|
*
|
|
VMAX = ZERO
|
|
DUM( 1 ) = -ONE
|
|
CALL SCOPY( N, DUM, 0, STMP, 1 )
|
|
CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
|
|
CALL CTRSNA( 'E', 'A', SELECT, N, T, LDT, LE, LDT, RE, LDT,
|
|
$ STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 3 ) = KNT
|
|
NINFO( 3 ) = NINFO( 3 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
DO 160 I = 1, N
|
|
IF( STMP( I ).NE.S( I ) )
|
|
$ VMAX = ONE / EPS
|
|
IF( SEPTMP( I ).NE.DUM( 1 ) )
|
|
$ VMAX = ONE / EPS
|
|
160 CONTINUE
|
|
*
|
|
* Compute eigenvector condition numbers only and compare
|
|
*
|
|
CALL SCOPY( N, DUM, 0, STMP, 1 )
|
|
CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
|
|
CALL CTRSNA( 'V', 'A', SELECT, N, T, LDT, LE, LDT, RE, LDT,
|
|
$ STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 3 ) = KNT
|
|
NINFO( 3 ) = NINFO( 3 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
DO 170 I = 1, N
|
|
IF( STMP( I ).NE.DUM( 1 ) )
|
|
$ VMAX = ONE / EPS
|
|
IF( SEPTMP( I ).NE.SEP( I ) )
|
|
$ VMAX = ONE / EPS
|
|
170 CONTINUE
|
|
*
|
|
* Compute all condition numbers using SELECT and compare
|
|
*
|
|
DO 180 I = 1, N
|
|
SELECT( I ) = .TRUE.
|
|
180 CONTINUE
|
|
CALL SCOPY( N, DUM, 0, STMP, 1 )
|
|
CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
|
|
CALL CTRSNA( 'B', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
|
|
$ STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 3 ) = KNT
|
|
NINFO( 3 ) = NINFO( 3 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
DO 190 I = 1, N
|
|
IF( SEPTMP( I ).NE.SEP( I ) )
|
|
$ VMAX = ONE / EPS
|
|
IF( STMP( I ).NE.S( I ) )
|
|
$ VMAX = ONE / EPS
|
|
190 CONTINUE
|
|
*
|
|
* Compute eigenvalue condition numbers using SELECT and compare
|
|
*
|
|
CALL SCOPY( N, DUM, 0, STMP, 1 )
|
|
CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
|
|
CALL CTRSNA( 'E', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
|
|
$ STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 3 ) = KNT
|
|
NINFO( 3 ) = NINFO( 3 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
DO 200 I = 1, N
|
|
IF( STMP( I ).NE.S( I ) )
|
|
$ VMAX = ONE / EPS
|
|
IF( SEPTMP( I ).NE.DUM( 1 ) )
|
|
$ VMAX = ONE / EPS
|
|
200 CONTINUE
|
|
*
|
|
* Compute eigenvector condition numbers using SELECT and compare
|
|
*
|
|
CALL SCOPY( N, DUM, 0, STMP, 1 )
|
|
CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
|
|
CALL CTRSNA( 'V', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
|
|
$ STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 3 ) = KNT
|
|
NINFO( 3 ) = NINFO( 3 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
DO 210 I = 1, N
|
|
IF( STMP( I ).NE.DUM( 1 ) )
|
|
$ VMAX = ONE / EPS
|
|
IF( SEPTMP( I ).NE.SEP( I ) )
|
|
$ VMAX = ONE / EPS
|
|
210 CONTINUE
|
|
IF( VMAX.GT.RMAX( 1 ) ) THEN
|
|
RMAX( 1 ) = VMAX
|
|
IF( NINFO( 1 ).EQ.0 )
|
|
$ LMAX( 1 ) = KNT
|
|
END IF
|
|
*
|
|
* Select second and next to last eigenvalues
|
|
*
|
|
DO 220 I = 1, N
|
|
SELECT( I ) = .FALSE.
|
|
220 CONTINUE
|
|
ICMP = 0
|
|
IF( N.GT.1 ) THEN
|
|
ICMP = 1
|
|
LCMP( 1 ) = 2
|
|
SELECT( 2 ) = .TRUE.
|
|
CALL CCOPY( N, RE( 1, 2 ), 1, RE( 1, 1 ), 1 )
|
|
CALL CCOPY( N, LE( 1, 2 ), 1, LE( 1, 1 ), 1 )
|
|
END IF
|
|
IF( N.GT.3 ) THEN
|
|
ICMP = 2
|
|
LCMP( 2 ) = N - 1
|
|
SELECT( N-1 ) = .TRUE.
|
|
CALL CCOPY( N, RE( 1, N-1 ), 1, RE( 1, 2 ), 1 )
|
|
CALL CCOPY( N, LE( 1, N-1 ), 1, LE( 1, 2 ), 1 )
|
|
END IF
|
|
*
|
|
* Compute all selected condition numbers
|
|
*
|
|
CALL SCOPY( ICMP, DUM, 0, STMP, 1 )
|
|
CALL SCOPY( ICMP, DUM, 0, SEPTMP, 1 )
|
|
CALL CTRSNA( 'B', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
|
|
$ STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 3 ) = KNT
|
|
NINFO( 3 ) = NINFO( 3 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
DO 230 I = 1, ICMP
|
|
J = LCMP( I )
|
|
IF( SEPTMP( I ).NE.SEP( J ) )
|
|
$ VMAX = ONE / EPS
|
|
IF( STMP( I ).NE.S( J ) )
|
|
$ VMAX = ONE / EPS
|
|
230 CONTINUE
|
|
*
|
|
* Compute selected eigenvalue condition numbers
|
|
*
|
|
CALL SCOPY( ICMP, DUM, 0, STMP, 1 )
|
|
CALL SCOPY( ICMP, DUM, 0, SEPTMP, 1 )
|
|
CALL CTRSNA( 'E', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
|
|
$ STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 3 ) = KNT
|
|
NINFO( 3 ) = NINFO( 3 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
DO 240 I = 1, ICMP
|
|
J = LCMP( I )
|
|
IF( STMP( I ).NE.S( J ) )
|
|
$ VMAX = ONE / EPS
|
|
IF( SEPTMP( I ).NE.DUM( 1 ) )
|
|
$ VMAX = ONE / EPS
|
|
240 CONTINUE
|
|
*
|
|
* Compute selected eigenvector condition numbers
|
|
*
|
|
CALL SCOPY( ICMP, DUM, 0, STMP, 1 )
|
|
CALL SCOPY( ICMP, DUM, 0, SEPTMP, 1 )
|
|
CALL CTRSNA( 'V', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
|
|
$ STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
|
|
IF( INFO.NE.0 ) THEN
|
|
LMAX( 3 ) = KNT
|
|
NINFO( 3 ) = NINFO( 3 ) + 1
|
|
GO TO 260
|
|
END IF
|
|
DO 250 I = 1, ICMP
|
|
J = LCMP( I )
|
|
IF( STMP( I ).NE.DUM( 1 ) )
|
|
$ VMAX = ONE / EPS
|
|
IF( SEPTMP( I ).NE.SEP( J ) )
|
|
$ VMAX = ONE / EPS
|
|
250 CONTINUE
|
|
IF( VMAX.GT.RMAX( 1 ) ) THEN
|
|
RMAX( 1 ) = VMAX
|
|
IF( NINFO( 1 ).EQ.0 )
|
|
$ LMAX( 1 ) = KNT
|
|
END IF
|
|
260 CONTINUE
|
|
GO TO 10
|
|
*
|
|
* End of CGET37
|
|
*
|
|
END
|
|
|